应304am永利集团官网邓伟华教授邀请，中国科学院数学与系统科学研究院毛士鹏研究员将于2023年3月24日-26日访问兰州大学，期间举办专题学术报告，欢迎全校师生参加。

报告题目: Numerical analysis of a fully discrete finite element method for 3D vector potential MHD system

时 间：3月24日（星期五）15：00-16：00.

地 点：理工楼 631

报告摘要：We investigate a fully discrete finite element scheme for the three dimensional incompressible magnetohydrodynamic (MHD) problem based on magnetic vector potential formulation. Using a mixed finite element approach, we discretize the model by the fully discrete semi-implicit Euler scheme with the velocity and the pressure approximated by stable MINI finite elements and the magnetic vector potential by edge elements.The formulation enjoys the novel feature that it can always produce an exactly divergence free magnetic induction discretized solution. However, its computational difficulty and efficiency are comparable to the traditional MHD model. We will also discuss some strong convergence results and error estimates for the numerical solutions of the model, as well as the existence and well-posedness of the weak solution of the model. Finally, some numerical examples are carried out to demonstrate both accuracy and efficiency of the fully discrete scheme.

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报告人简介

毛士鹏，中科院数学与系统科学研究院研究员、博士生导师，中科院大学岗位教授。2008年博士毕业于中科院数学与系统科学研究院，2008-2012年先后在法国国家信息自动化研究院（INRIA）以及在瑞士苏黎世高工(ETH Zurich)做博士后和研究助理。主要研究兴趣为有限元方法及其应用，计算流体力学和磁流体力学等。在 Math. Comp.，Numer. Math.，SIAM J. Numer. Math.，SIAM J. Sci. Comput.，M3AS等杂志上发表论文70余篇。

甘肃应用数学中心

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萃英学院

2023年3月22日